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Finding the Fourth Proportional to 19,879.16, 29,822.52 and 6,728

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Solution

The fourth proportional to 19,879.16, 29,822.52 and 6,728 is: 10,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.16 : 29,822.52 = 6,728 : x
  2. Step 2: Convert to fraction form
    19,879.16/29,822.52 = 6,728/x
  3. Step 3: Cross multiply
    19,879.16x = 29,822.52 × 6,728
  4. Step 4: Simplify right side
    19,879.16x = 200,645,914.56
  5. Step 5: Solve for x
    x = 200,645,914.56/19,879.16
  6. Step 6: Final answer
    x = 10,093.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.